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Suppose that a cellular phone costs $4 per month with 10 minutes of use included, and suppose that each additional

Suppose that a cellular phone costs $4 per month with 10 minutes of use included, and suppose that each additional

minute
of use costs $0.50. Suppose the number of minutes you use the phone in a month is well model by a random variable M, such that M Binomial(15, 1/2), this means that the RV M has a binomial pmf with parameters 15 and 1/2 . Find the PMF for the random variable X, corresponding to your bill on a given month.

Topics: functions of random variables, expectation and variance, joint pmfs, conditioning and independence

Question attached. 

 
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